Search a number
-
+
56335821696 = 27327112353521
BaseRepresentation
bin110100011101111000…
…000110101110000000
312101102010210021001200
4310131320012232000
51410333432243241
641514052101200
74033024404060
oct643570065600
9171363707050
1056335821696
112198a114730
12ab02904800
13540a59934b
142a25d993a0
1516eac154b6
hexd1de06b80

56335821696 has 768 divisors, whose sum is σ = 215293178880. Its totient is φ = 13706035200.

The previous prime is 56335821683. The next prime is 56335821757. The reversal of 56335821696 is 69612853365.

It is a happy number.

56335821696 is a `hidden beast` number, since 5 + 6 + 335 + 8 + 216 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108129916 + ... + 108130436.

It is an arithmetic number, because the mean of its divisors is an integer number (280329660).

Almost surely, 256335821696 is an apocalyptic number.

56335821696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56335821696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107646589440).

56335821696 is an abundant number, since it is smaller than the sum of its proper divisors (158957357184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56335821696 is a wasteful number, since it uses less digits than its factorization.

56335821696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 620 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 56335821696 in words is "fifty-six billion, three hundred thirty-five million, eight hundred twenty-one thousand, six hundred ninety-six".